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andrey2020 [161]
2 years ago
15

PLEASE HELP MEE RN! DUE IN 5 MINS SHOW YOUR WORK PLEASE

Mathematics
1 answer:
77julia77 [94]2 years ago
5 0

Answer:

x = 0

y = -12

Step-by-step explanation:

Plug in what y is equal to into the second equation

-3(x - 12) = 2x + 36

Distribute the -3

-3x + 36 = 2x + 36

      -36           -36

-3x = 2x

They cannot be equal so x = 0

Plug in 0 into the y equation

y = 0 - 12

y = -12

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Correct response:

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<h3 /><h3>Methods used to obtain the above response</h3>

Let <em>x</em><em> </em>represent the width of the cars parked compact, and let a·x represent the width of cars parked in full size spaces.

We have;

Initial space occupied = 10·x + 12·(a·x) = x·(10 + 12·a)

New space design = 16·x + 9×(a·x) = x·(16 + 9·a)

When the dimensions of the initial and new arrangement are equal, we have;

10 + 12·a = 16 + 9·a

12·a - 9·a = 16 - 10 = 6

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a = 6 ÷ 3 = 2

a = 2

Whereby the factor <em>a</em> < 2, such that the width of the full size space is less than twice the width of the compact spaces, by testing, we have;

10 + 12·a < 16 + 9·a

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x·(10 + 12·a) < x·(16 + 9·a)

Therefore;

The initial total car park space is less than the space required for 16

compact spaces and 9 full size spaces, therefore; the store owners are

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3 years ago
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